in δabc, the measure of ∠c=90°, cb = 56, ac = 33, and ba = 65. what is the value of the tangent of ∠a to the nearest hundredth?

Answer:

1,200+300=1,500

Step-by-step explanation:

Answer:

1,200+1,200=2,400

Step-by-step explanation:

Answer:

 8(47) - 7(47)

Step-by-step explanation:

The numerical expression;

  Difference between;

            8 forty sevens and 7 forty sevens

8 forty sevens  = 8 (47)

7 forty sevens  = 7 (47)

 Difference;

            8(47) - 7(47)

Answer:

tu6=-

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

4(2x + 14) = 0

Isolate the variable (x)

2x + 14 = 0 ÷ 4

2x + 14 = 0

2x = 0 - 14

2x = -14

x = -14 ÷ 2

x = -7

The kind of transformation the quadrilateral underwent is 180° rotation about the origin and the new vertex of Q is (4,5).

Transformation is the change in the coordinates of the vertices that make up a plane shape.

This can be done either by translation, reflection or rotation.

Analysis:

since the x and y coordinates of P is the opposite of the coordinates of p' then there is a 180° rotation about the origin.

If vertex Q is (-4, -5), then Q' is the opposite which is (4, 5 )

In conclusion, the transformation is a 180° rotation and the coordinates of Q' are (4, 5).

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The probability that none are mechanical engineering majors is 0.51.

The number of students who are not mechanical engineering majors is 100 - 49 = 51. The probability of choosing a student who is not a mechanical engineering major in one draw is 51/100. The probability of choosing five students in a row who are not mechanical engineering majors is (51/100)^5. Thus, the answer is (51/100)^5 = 0.1517816.

Probability refers to potential. From 0 to 1 is used to express the value. To determine how likely an event is to occur, probability has been introduced in mathematics. This is the fundamental theory of probability, which is also applied to the probability distribution, and from which you will discover the likelihood of results for a random experiment. The complete number of possibilities that can occur should be known before calculating the likelihood that a certain event will occur.

The complete question is:-

In a class of 100 students, 30 are computer science majors, 49 are mechaincal engineering majors, 13 are civil engineers and the rest are general engineering majors. Assume students only have one major.Suppose five students from the class are chosen at random what is the probability none are mechanical engineering majors?My info I know: The mechanical engineers account for 49% of the students, making 51% not mechanical engineers? Do I take five out of the 51, so 0.05 X 0.51?

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Answer:

The answer is 402.

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

a) The binomial expansion of (1+12x)^1/2 is given by:

(1+12x)^1/2 = 1^1/2 + (1/2)(1^-1/2)(12x) + (1/2)(1^-1/2)(-1/2)*(12x)^2 + ...

Binomial expression: what is it?

A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient.

The first four terms, in ascending powers of x, are:

1, (1/2)(12x), (1/8)(12x)^2, (1/16)*(12x)^3

b) To use x=1/36 in the expansion, you would substitute x=1/36 into the expansion, and keep only the terms up to x^3 (the fourth term in the expansion). This will give an approximation of the value of (1+12x)^1/2 when x=1/36.

This will be an approximation of √12 because x=1/36 corresponds to 12x = 1 and the initial value of the expansion is 1 + 12x .

We can use this approximation to approximate square root of 12 and also for other square roots by using appropriate x values.

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\(\sqrt[4]{567x^9 y^{11}} ~~ \begin{cases} 567=3\cdot 3\cdot 3\cdot 3\cdot 7\\ \qquad ~~ ~ 3^4\cdot 7\\ x^9=x^{4+4+1}\\ \qquad ~x^4\cdot x^4\cdot x\\ y^{11}=y^{4+4+3}\\ \qquad ~~ y^4\cdot y^4\cdot y^3 \end{cases}\implies \sqrt[4]{3^4\cdot 7 \cdot x^4\cdot x^4\cdot x\cdot y^4\cdot y^4\cdot y^3}\)

\(\left( 3^4\cdot 7 \cdot x^4\cdot x^4\cdot x\cdot y^4\cdot y^4\cdot y^3\right)^{\frac{1}{4}}\implies 3^{\frac{4}{4}}\cdot 7^{\frac{1}{4}}\cdot x^{\frac{4}{4}}\cdot x^{\frac{4}{4}}\cdot x^{\frac{1}{4}}\cdot y^{\frac{4}{4}}\cdot y^{\frac{4}{4}}\cdot y^{\frac{3}{4}}\)

\(3\cdot 7^{\frac{1}{4}}\cdot x\cdot x\cdot x^{\frac{1}{4}}\cdot y\cdot y\cdot y^{\frac{3}{4}}\implies 3x^2y^2\cdot 7^{\frac{1}{4}}x^{\frac{1}{4}} y^{\frac{3}{4}} \implies 3x^2y^2(7xy^3)^{\frac{1}{4}} \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x^2y^2\sqrt[4]{7xy^3} \end{array}}~\hfill\)

Answer:

-24x²

Step-by-step explanation:

remove the parentheses, multiply the numbers, apply exponent rule and add the numbers

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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The question about whether the study used was appropriate is:

This refers to the research study which is done about a particular phenomena which satisfies every criteria and is consistent with the scientific method.

With this in mind, we can see that the study was not appropriate as it failed to satisfy all criteria by using a study of a group of people who used only one particular font.

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Answer:

The study was an experiment, but it didn't include fonts other than Courier New.

Step-by-step explanation:

Answer:

195 feet? (I know the answer but I'll leave the rest to you about typing it either cm2 or those stuff.

Step-by-step explanation:

To work this out so, congruent means identical. We already have the answer to EF so 13 x ? But BC = 15 feet. And BC = FG So,

13 x 15 = 195.

Hope this helps

Step-by-step explanation:

See image below

Answer:

2 hours 30 mins

Step-by-step explanation:

We Know

Caleb and his friends went to see a movie at 7:35 p.m.

They left at 10:05

How long was the movie?

We Take

10:05 - 7:35 = 2 hours 30 mins

So, the movie is 2 hours 30 mins long.

Its a parallelogram

<C+<D=<A+<C

Also

AB||CD

\(\\ \rm\Rrightarrow <A+<B=180\)

\(\\ \rm\Rrightarrow \dfrac{1}{2}<A+\dfrac{1}{2}<B=\dfrac{1}{2}180\)

\(\\ \rm\Rrightarrow <PAB+<ABP=90\)

Using angle sum property

\(\\ \rm\Rrightarrow <APB=180-90=90\)

Hence proved

Answer:

Arithmetic sequence:  \(a_{n}=a_{1}+(n-1)d\)

Geometric sequence: \(a_{n}=a_{1}(r)^{n-1}\)

Step-by-step explanation:

The arithmetic sequence: is the sequence whos terms increased or decreased by a constant amount.

Examples:

The explicit formula for the nth term of the arithmetic sequence is:

The geometric sequence: is the sequence whos consecutive terms have a constant ratio

Examples:

The explicit formula for the nth term of the geometric sequence is:

* Arithmetic sequence          →→→→→→   Geometric sequence

 Has a constant difference    →→→→→→    Has a constant ratio

 \(a_{n}=a_{1}+(n-1)d\)                  →→→→→→    \(a_{n}=a_{1}(r)^{n-1}\)

 \(d=a_{n}-a_{n-1}\)                          →→→→→→    \(r=\frac{a_{n}}{a_{n-1} }\)

John Proctor is one of the most significant and complex characters in Arthur Miller's The Crucible, a drama set in 1692 Salem, Massachusetts, during the witchcraft hysteria.

In at least 150 words, we will examine the changes that occur in John Proctor's character from the beginning of the play to the end. John Proctor is a farmer and the husband of Elizabeth Proctor. He is a respected member of Salem's society, but he has a dark past. His affair with Abigail Williams, a teenage girl, led to his wife firing Abigail from her job and made her angry with the Proctors. John Proctor is a man of pride who cares deeply for his family. However, his own sense of right and wrong, his morals, and his beliefs are put to the test as the witchcraft hysteria takes over Salem.

At the beginning of the play, John Proctor is a man of reputation and standing in Salem. His love for his wife Elizabeth is evident, yet he carries with him the guilt of his affair with Abigail Williams. He is distant from his wife, troubled by his actions in the past, and unwilling to forgive himself. John Proctor has reservations about the witchcraft trials, and he is hesitant to speak out against them, which leads to his eventual downfall. However, as the play progresses, he transforms from a guilty and ashamed man into one who is determined to set things right and stand up for his beliefs.

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Answer:

the rate of change from 4 to 8 is 4

Step-by-step explanation:

you can find this by subtracting the first number from the secone number and if the two numbers were in a diffrent order being 8 and 4 the answer would still be 4 because when you subtract 8 from 4 you ger-4 but with rate of change you always use the absolute value

hope this helped

It will take approximately 427 months or 35 years and 7 months for a sum of Rs. 9400 to become Rs. 10951.8 at the rate of 3 2/3% per annum.

Let the principal amount be Rs. 9400, rate of interest be 3 2/3 % per annum and the final amount be Rs. 10951.8

To find: The time required to become Rs. 10951.8

Step 1: Calculation of Interest:

Earned interest = Final amount - Principal amount = Rs. 10951.8 - Rs. 9400 = Rs. 1551.8

Step 2: Calculation of Time:

Time = (100 * Earned interest) / (Principal * Rate * 12/100)

Here, Principal = Rs. 9400,Rate = 3 ,2/3% per annum = (11/3)% per annum,

Time = (100 * 1551.8) / (9400 * (11/3) * 12/100)

= 100 * 1551.8 / 9400 * 11/3 * 12/100

= 15518 / 3636

= 15518/3636*100/100

= 426.906 or 426.91

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In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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Answer:

I don't know sorry I haven't studied this at all I am in 7th grade only so

The amount of money she would have is $10,291.50.

The amount of money she would have to buy the gift is the sum of the amount deposited and the interest.

Simple interest is interest that only accrues on the amount of money deposited into the account.

The formula that can be used to determine simple interest is: principal x time x interest rate

Where:

$10,000 x 11/12 x 0.0318 = $291.50

$10,000 + $291.50 = $10,291.50

Answer:

9

Step-by-step explanation:

99 : 66 ( divide both parts by 11 )

= 9 : 6

Answer:

What's the full question? I'm not sure how to help with just this information :(

Answer:

\(f(x)=\displaystyle \frac{6}{x}=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)

Step-by-step explanation:

Recall the formula for Taylor Series:

\(\displaystyle f(x)=f(c)+f'(c)(x-c)+\frac{f''(c)(x-c)^2}{2!}+\frac{f'''(c)(x-c)^3}{3!}+...+\frac{f^n(c)(x-c)^n}{n!}=\sum^\infty_{n=0}\frac{f^n(c)}{n!}(x-c)^n\)

Determine the derivative function fⁿ(c):

\(\displaystyle f(c)=\frac{6}{c}=\frac{6}{1}=6\\ \\f'(c)=-\frac{6}{c^2}=-\frac{6}{1^2}=-6\\ \\f''(c)=\frac{12}{c^3}=\frac{12}{1^3}=12\\\\f'''(c)=-\frac{36}{x^4}=-\frac{36}{1^4}=-36\\\\....\\\\f^n(c)=6(-1)^{n}n!\)

Therefore, the infinite series can be written as:

\(\displaystyle f(x)=\frac{6}{x}=\sum^\infty_{n=0}\frac{6(-1)^nn!}{n!}(x-1)^n=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)

Answer:

Step-by-step explanation:

Here is a simple example of set-builder notation set builder notation it says " the set of all x's, such that X is greater than 0".